Aggregation and Control of Populations of Thermostatically Controlled Loads by Formal Abstractions

作者: Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate

DOI: 10.1109/TCST.2014.2358844

关键词:

摘要: This paper discusses a two-step procedure, based on the use of formal abstractions, to generate finite-space stochastic dynamical model as an aggregation continuous temperature dynamics homogeneous population thermostatically controlled loads (TCLs). The TCL is described by difference equation and status (ON, OFF) deterministic switching mechanism. procedure deemed be formal, it allows quantification error introduced abstraction. As such, builds improves known, earlier approximation technique used in literature. Furthermore, contribution extension instance heterogeneous populations TCLs means two approaches. It moreover investigates problem global (population-level) power reference tracking load balancing for that are explicitly dependent control input. tested case study benchmarked against mentioned existing approach

参考文章(33)
Sadegh Esmaeil Zadeh Soudjani, Alessandro Abate, Higher-Order Approximations for Verification of Stochastic Hybrid Systems Automated Technology for Verification and Analysis. pp. 416- 434 ,(2012) , 10.1007/978-3-642-33386-6_32
Joost-Pieter Katoen, Christel Baier, Principles of Model Checking ,(2008)
Athanasios C. Antoulas, Approximation of Large-Scale Dynamical Systems ,(2005)
Johanna L. Mathieu, Maryam Kamgarpour, John Lygeros, Duncan S. Callaway, Energy arbitrage with thermostatically controlled loads 2013 European Control Conference (ECC). pp. 2519- 2526 ,(2013) , 10.23919/ECC.2013.6669582
Sadegh Esmaeil Zadeh Soudjani, Alessandro Abate, Aggregation of thermostatically controlled loads by formal abstractions 2013 European Control Conference (ECC). pp. 4232- 4237 ,(2013) , 10.23919/ECC.2013.6669547
C. Chong, A. Debs, Statistical synthesis of power system functional load models conference on decision and control. ,vol. 18, pp. 264- 269 ,(1979) , 10.1109/CDC.1979.270177
Han-Fu Chen, P.R. Kumar, J.H. van Schuppen, On Kalman filtering for conditionally Gaussian systems with random matrices Systems & Control Letters. ,vol. 13, pp. 397- 404 ,(1990) , 10.1016/0167-6911(89)90106-0
Alessandro Abate, Joost-Pieter Katoen, John Lygeros, Maria Prandini, Approximate Model Checking of Stochastic Hybrid Systems European Journal of Control. ,vol. 16, pp. 624- 641 ,(2010) , 10.3166/EJC.16.624-641
R. Malhame, Chee-Yee Chong, Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system IEEE Transactions on Automatic Control. ,vol. 30, pp. 854- 860 ,(1985) , 10.1109/TAC.1985.1104071